# C800 — Localize the surface-spine residuals

## Question

Which adjacent intervals account for the complete displacement vector?

## Inputs

```json
{}
```

## Sources

```json
[
  "C799; File20 surface prose and dates"
]
```

## Opened utc

2026-09-28T02:07:13.525015+00:00

## Results

```json
{
  "reconstructed_gaps": [
    100,
    60,
    130
  ],
  "surface_gaps": [
    111,
    59,
    125
  ],
  "changes": [
    11,
    -1,
    -5
  ],
  "source_tension": "prose says Isaac→Jacob60 became70, but displayed1987→2046 gives59"
}
```

## Finding

The changes+11,−1,−5 explain the residual field and total+5 exactly. The displayed59 is retained; the source’s60→70 prose is not silently harmonized.

## Reassessment

Close both paths at Conquest to test whole-path conservation.

## Checks

```json
{
  "gaps": true,
  "finite_difference": true,
  "total": true
}
```

## Closed utc

2026-09-28T02:07:13.525514+00:00

## Record provenance

Exact record hash: `a3957702d5e374fde0af8f9e472fa2c424b86d784e07f3808eaddec0ee1a058e`

Source journal: `Research_Cycles/C0732_C0831/journal.json`